Characterizations of generalized convexities via generalized directional derivatives

被引：20
作者：
Sach, PH
Penot, JP
机构：
[1] Hanoi Inst Math, Hanoi, Vietnam
[2] Univ Pau & Pays Adour, Lab Math Appl, UPRES A CNRS 5033, F-64000 Pau, France
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1998年 / 19卷 / 5-6期
关键词：
convexity; derivatives; generalized convexity; generalized derivatives; invexity; monotone mapping; pseudo-convexity; quasiconvexity; quasimonotone operator;
D O I：
10.1080/01630569808816849
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper gives characterizations of convexity, quasiconvexity, invexity and pseudo convexity for a (radially) upper-semicontinuous function f in a topological vector space via appropriate properties of a bifunction which is majorized by the upper radial derivative of f and which stands for a generalized derivative of some sort.
引用
收藏
页码：615 / 634
页数：20
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